Discover the simplicity of converting gradians to degrees with Newtum's Grad to Circle Converter, a tool designed to provide precise conversions and inspire your curiosity.
A grad, also known as a gon or grade, is a unit of angular measurement in which one grad equals one-hundredth of a right angle. This means there are 400 gradians in a full circle, making it an alternative to degrees for representing angles. Its use is less common but it offers simplicity in certain mathematical calculations, particularly in surveying and civil engineering.
Definition of CircleA circle is a geometric shape consisting of all points in a plane that are at a constant distance, known as the radius, from a central point. It has been significant in various cultures and disciplines throughout history. In geometry, the circle is important for its properties and the mathematical constant π (pi), which relates the circumference of a circle to its diameter.
Grad (g) | Degrees (°) |
---|---|
10g | 9° |
20g | 18° |
50g | 45° |
100g | 90° |
200g | 180° |
300g | 270° |
400g | 360° |
450g | 405° |
500g | 450° |
1g = 0.9°
Example 1:
Convert 100g to degrees:
100g = 100 × 0.9° = 90°
Example 2:
Convert 200g to degrees:
200g = 200 × 0.9° = 180°
The Grad to Circle Converter has its roots in the French Revolution, devised as part of the metric system to standardize angular measurements. It simplifies certain mathematical and surveying tasks, although it has become less prevalent with the widespread adoption of the degree in many applications.
Exploring the Grad to Circle Converter unveils its practical applications in real-world scenarios, sparking interest for further reading.
Example 1: To convert 50 gradians to degrees, you multiply by 0.9, resulting in 45 degrees.
Example 2: Converting 250 gradians to degrees gives you 225 degrees after multiplication.